Adaptation of Differential Transform Method for the Numeric-Analytic Solution of Fractional-Order Rössler Chaotic and Hyperchaotic Systems
Keyword(s):
A new reliable algorithm based on an adaptation of the standard generalized differential transform method (GDTM) is presented. The GDTM is treated as an algorithm in a sequence of intervals (i.e., time step) for finding accurate approximate solutions of fractional-order Rössler chaotic and hyperchaotic systems. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The algorithm described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.
2012 ◽
Vol 2012
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pp. 1-12
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2011 ◽
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pp. 463-466
Generalized differential transform method: Application to differential equations of fractional order
2008 ◽
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pp. 467-477
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2015 ◽
Vol 29
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pp. 88-101
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2014 ◽
Vol 69
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pp. 81-89
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2015 ◽
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pp. 1550032
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2013 ◽
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pp. 1-7
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2012 ◽
Vol 204-208
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pp. 4476-4480
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